PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson.

Title:Randomized models and continuous logic
Seminar:Department of Mathematics Colloquium
Speaker:H. Jerome Keisler, University of Wisconsin
Abstract:
Intuitively, a randomization of a mathematical structure M is a new structure whose elements are random elements of M. In many cases, the random elements of M have properties analogous to those of the original elements of M. For example, a randomization of the ordered field R of real numbers is a structure whose elements are random reals -- measurable functions from some underlying probability space into R. Similarly, one can form randomizations of any other structure, such as the ring of integers, the field of complex numbers, a group, a Boolean algebra, or a directed graph. Moral of this lecture: In an extremely general setting, many properties are preserved by the operation of randomization. Some of the work is joint with Itai Ben Yaacov.

Room Reservation Information

Room Number:MB114
Date:04 / 15 / 2010
Time:04:00pm - 05:00pm